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Finding the Fourth Proportional to 1,069.28, 1,602.69 and 490.94

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Solution

The fourth proportional to 1,069.28, 1,602.69 and 490.94 is: 735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.28 : 1,602.69 = 490.94 : x
  2. Step 2: Convert to fraction form
    1,069.28/1,602.69 = 490.94/x
  3. Step 3: Cross multiply
    1,069.28x = 1,602.69 × 490.94
  4. Step 4: Simplify right side
    1,069.28x = 786,824.63
  5. Step 5: Solve for x
    x = 786,824.63/1,069.28
  6. Step 6: Final answer
    x = 735.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.